Topic
Traction (engineering)
About: Traction (engineering) is a research topic. Over the lifetime, 4903 publications have been published within this topic receiving 64358 citations. The topic is also known as: tractive force.
Papers published on a yearly basis
1 / 3
Papers
TL;DR: This paper presents an exact solution to the problem of computing the traction field from the observed displacement field, and gives explicit formulas for reducing the traction and displacement fields to contraction moments, the orientation of the principal axes of traction, and the strain energy imparted by the cell to the substrate.
Abstract: Adherent cells exert tractions on their surroundings. These tractions can be measured by observing the displacements of beads embedded on a flexible gel substrate on which the cells are cultured. This paper presents an exact solution to the problem of computing the traction field from the observed displacement field. The solution rests on recasting the relationship between displacements and tractions into Fourier space, where the recovery of the traction field is especially simple. We present two subcases of the solution, depending on whether or not tractions outside the observed cell boundaries are set to be zero. The implementation is computationally efficient. We also give the solution for the traction field in a representative human airway smooth muscle cell contracted by treatment with histamine. Finally, we give explicit formulas for reducing the traction and displacement fields to contraction moments, the orientation of the principal axes of traction, and the strain energy imparted by the cell to the substrate.
1,101 citations
748 citations
TL;DR: In this article, the existence of singular solutions to the nonlinear elastostatics problem with respect to radial motion has been studied for a class of strongly elliptic materials by means of the direct method of the calculus of variations, and it has been shown that the only radial equilibrium solutions without cavities are homogeneous.
Abstract: A study is made of a class of singular solutions to the equations of nonlinear elastostatics in which a spherical cavity forms at the centre of a ball of isotropic material placed in tension by means of given surface tractions or displacements. The existence of such solutions depends on the growth properties of the stored-energy function W for large strains and is consistent with strong ellipticity of W . Under appropriate hypotheses it is shown that a singular solution bifurcates from a trivial (homogeneous) solution at a critical value of the surface traction or displacement, at which the trivial solution becomes unstable. For incompressible materials both the singular solution and the critical surface traction are given explicitly, and the stability of all solutions with respect to radial motion is determined. For compressible materials the existence of singular solutions is proved for a class of strongly elliptic materials by means of the direct method of the calculus of variations, an important step in the analysis being to show that the only radial equilibrium solutions without cavities are homogeneous. Work of Gent & Lindley (1958) shows that the critical surface tractions obtained agree with those observed in the internal rupture of rubber.
710 citations
1 Feb 1970
667 citations
TL;DR: Experimental and computational advances in improving the resolution and reliability of traction force microscopy are reported and fibroblast traction is reconstructed for the first time with a spatial resolution of approximately 1 microm.
634 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2022 | 4 |
| 2021 | 85 |
| 2020 | 181 |
| 2019 | 194 |
| 2018 | 188 |
| 2017 | 193 |